Finding the Fourth Proportional to 1,646.28, 2,271.78 and 900.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,646.28 : 2,271.78 = 900.24 : x
2. Step 2: Convert to fraction form
   1,646.28/2,271.78 = 900.24/x
3. Step 3: Cross multiply
   1,646.28x = 2,271.78 × 900.24
4. Step 4: Simplify right side
   1,646.28x = 2,045,147.23
5. Step 5: Solve for x
   x = 2,045,147.23/1,646.28
6. Step 6: Final answer
   x = 1,242.28